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Finding the Fourth Proportional to 9,215.92, 13,818.75 and 5,469.22

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Solution

The fourth proportional to 9,215.92, 13,818.75 and 5,469.22 is: 8,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.92 : 13,818.75 = 5,469.22 : x
  2. Step 2: Convert to fraction form
    9,215.92/13,818.75 = 5,469.22/x
  3. Step 3: Cross multiply
    9,215.92x = 13,818.75 × 5,469.22
  4. Step 4: Simplify right side
    9,215.92x = 75,577,783.88
  5. Step 5: Solve for x
    x = 75,577,783.88/9,215.92
  6. Step 6: Final answer
    x = 8,200.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.